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03-21-2007

ABOVE BOARD


Parallelism and Crosstalk I

Crosstalk between two parallel traces is caused by a combination of two effects:

Mutual Capacitive coupling - a current (IC) caused by capacitive coupling between two traces and Mutual Inductive coupling - a current (IL) caused by inductive coupling between two traces.

When considering the effects of crosstalk, it is important to consider these factors: The degree of capacitive and inductive coupling between traces; the direction of the signals and the reflection of the backward coupled signal.

Consider the traces illustrated here.

IC + IL IC - IL

A ------------------------------------------------ B
X
C ------------------------------------------------ D

A signal propagates down the trace CD from point C to Point D. Assume the leading edge of the rise time of the signal is at point x. A signal will be coupled into trace AB at x that will travel in both directions. The forward coupled signal (Forward Crosstalk) is proportional to the DIFFERENCE between the two coupling effects (IC-IL). The reverse coupled signal (Backward Crosstalk), is proportional to the SUM of the two coupling effects (IC + IL);

In normal PCB applications, the speed of the coupled pulses (i.e. the propagation time for either the forward or backward crosstalk signal) will be the same as that of the driven pulse on CD. For short duration pulses, the width of the forward crosstalk is equal to the rise time of the driven pulse. The reverse pulse width however, (backward crosstalk) is equal to twice the propagation time of the length of the coupled (parallel) line.

One way to visualize this is as follows :

Picture a train moving from C to D whose engine is just passing C and pushes a "bow wave" (analogous to the rise time of the pulse). Forward crosstalk starts at A and moves towards B at the same speed as the engine. Backward crosstalk has also been generated which reflects off of A and is also moving towards B. As the engine continues towards D, it continues to couple a signal in the parallel line that travels backwards towards A and then reflects back to B again. This continues until the engine reaches D.

The forward crosstalk continues to build over the entire length, so the magnitude of the forward crosstalk signal is proportional to the coupled length. However, since the inductive and capacitive effects tend to cancel in normal PCB applications (since the materials are relatively homogeneous) the signal still tends to be very small.

The backward crosstalk signal, however, reaches a maximum value at the point where the coupled length is tr/2tpd or greater. The magnitude of this signal is hard to predict. One study suggests that a maximum magnitude of about 20% for 2nsec rise time signals in close coupled lines in Microstrip and 12% for 2nsec rise time signals in close coupled lines in Stripline are reasonable estimates. Increased separation and signal reflections will reduce the size of the signal.

Finally, the device impedance at point A is usually relatively lower than the intrinsic impedance of the trace. So the backward crosstalk (voltage) signal will reflect at point A back towards with a negative reflection coefficient and a magnitude that will depend on the reflection coefficient
p = (RL-ZO)

(RL+ZO)

The reflection coefficient would normally be relatively high (say .5 to .8).

Continued in Part II

UltraCad Design in Bellevue Wash., specialize in designing high speed boards and can be reached at (206)450 9708.